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Finding the Third Proportional to 36,417 and 79,062

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Solution

The third proportional to 36,417 and 79,062 is: 171,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417 : 79,062 = 79,062 : x
  2. Step 2: Convert to fraction form
    36,417/79,062 = 79,062/x
  3. Step 3: Cross multiply
    36,417x = 79,062 × 79,062
  4. Step 4: Simplify right side
    36,417x = 6,250,799,844
  5. Step 5: Solve for x
    x = 6,250,799,844/36,417
  6. Step 6: Final answer
    x = 171,645.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.